Distance and similarity measures on interval-valued Q-neutrosophic soft environments and their applications

Authors

  • Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq. Author
  • Ashraf Al-Quran Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi Arabia. https://orcid.org/0000-0002-1140-1710 Author
  • Mamika Ujianita Romdhini Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125, Indonesia. https://orcid.org/0000-0002-1379-2671 Author
  • Zahari Md. Rodzi College of Computing, Informatics and Mathematics, UiTM Cawangan Negeri Sembilan, Kampus Seremban, 73000 Negeri Sembilan, Malaysia. https://orcid.org/0000-0003-4145-3340 Author
  • Hamiden Abd El- Wahed Khalifa Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt. https://orcid.org/0000-0002-8269-8822 Author

DOI:

https://doi.org/10.59543/ijmscs.v3i.12613

Keywords:

Fuzzy set; neutrosophic set; soft set; Q- neutrosophic set, Q- neutrosophic soft set

Abstract

Decision-making problems are characterized by many issues of uncertainty and hiddenness, and this requires identifying and developing the mathematical tools used to deal with them more accurately. For this purpose, in this work we will present an innovative mathematical concept called interval valued-Q-neutrosophic soft sets (IV-Q-NSSs) as a hyper fuzzy extension of some previous models. To clarify this concept further, we will provide some illustrative examples. After that, we discovered the distance and similarity measures on IV-Q-NSSs. We proposed several types of these measures and illustrated them with several numerical examples. Based on these measures, we created an innovative algorithm based on these procedures to solve one of the problems of daily life.

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Published

2025-01-03

How to Cite

Faisal Al-Sharqi, Ashraf Al-Quran, Mamika Ujianita Romdhini, Zahari Md. Rodzi, & Hamiden Abd El- Wahed Khalifa. (2025). Distance and similarity measures on interval-valued Q-neutrosophic soft environments and their applications. International Journal of Mathematics, Statistics, and Computer Science, 3, 313-322. https://doi.org/10.59543/ijmscs.v3i.12613

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